Advertisements
Advertisements
प्रश्न
Find the length of the largest pole that can be placed in a room of dimensions 12 m × 4 m × 3 m.
उत्तर
We have ΔACF, in which ∠C = 90°, CF = 3 m and AC = `sqrt((12)^2 + (4)^2)` m
The length of the largest pole = Length of diagonal of cuboid
⇒ (AF)2 = (AC)2 + (CF)2
⇒ (AF)2 = (12)2 + (4)2 + (3)2
⇒ `AF = sqrt(144 + 16 + 9)`
= `sqrt(169)`
= 13 m
APPEARS IN
संबंधित प्रश्न
A cubical box has each edge 10 cm and another cuboidal box is 12.5 cm long, 10 cm wide and 8 cm high.
(i) Which box has the greater lateral surface area and by how much?
(ii) Which box has the smaller total surface area and by how much?
A cuboid is of dimensions 60 cm × 54 cm × 30 cm. How many small cubes with side 6 cm can be placed in the given cuboid?
What will be the height of a cuboid of volume 168 m3, if the area of its base is 28 m2?
The perimeter of a floor of a room is 30 m and its height is 3 m. Find the area of four walls of the room.
The breadth of a room is twice its height, one half of its length and the volume of the room is 512 cu. dm. Find its dimensions.
The area of the floor of a room is 15 m2. If its height is 4 m, then the volume of the air contained in the room is
The number of cubes of side 3 cm that can be cut from a cuboid of dimensions 10 cm × 9 cm × 6 cm, is ______.
Find the volume of a cuboid whose diagonal is `3sqrt(29)"cm"` when its length, breadth and height are in the ratio 2 : 3 : 4.
A metallic sheet is of the rectangular shape with dimensions 48cm x 36cm. From each one of its corners, a square of 8cm is cutoff. An open box is made of the remaining sheet. Find the volume of the box.
How much sheet metal is required to make a closed rectangular box of length 1.5 m, breadth 1.2 m, and height 1.3 m?